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NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE

Abstract: 

The Wavelet Transform (WT) in JPEG 2000 is using a ‘separable’ lifting structure, where the one-dimensional (1D) transform is put into multidimensional image signal of its spatial and temporal dimensions. A ‘non-separable’ three-dimensional (3D) structure as the existing method is used to minimize its lifting steps. The ‘non-separable’ 3D structure in the (5,3) type transform for lossless coding is proved to reduce the rounding noise inside it. However, in the (9,7) type transform for lossy coding, the rounding noise inside the ‘non-separable’ 3D structure has increased. This paper proposed a new ‘non-separable’ two-dimensional (2D) structure for integer implementation of a four-dimensional (4D) quadruple lifting WT. Since the order of the original lifting step is preserved, the total amount of the rounding noise observed in pixel values of the decoded image is significantly reduced, and the lossy coding performance for 4D input signal is increased.

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Edited version for some typos

Paper Details

Authors:
Fairoza Amira Binti Hamzah, Taichi Yoshida, Masahiro Iwahashi
Submitted On:
7 March 2017 - 9:40pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Fairoza Amira Binti Hamzah
Paper Code:
2264
Document Year:
2017
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Document Files

ICASSP2017_4D97DWT.pdf

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[1] Fairoza Amira Binti Hamzah, Taichi Yoshida, Masahiro Iwahashi, "NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE", IEEE SigPort, 2017. [Online]. Available: http://sigport.org/1604. Accessed: Jun. 16, 2019.
@article{1604-17,
url = {http://sigport.org/1604},
author = {Fairoza Amira Binti Hamzah; Taichi Yoshida; Masahiro Iwahashi },
publisher = {IEEE SigPort},
title = {NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE},
year = {2017} }
TY - EJOUR
T1 - NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE
AU - Fairoza Amira Binti Hamzah; Taichi Yoshida; Masahiro Iwahashi
PY - 2017
PB - IEEE SigPort
UR - http://sigport.org/1604
ER -
Fairoza Amira Binti Hamzah, Taichi Yoshida, Masahiro Iwahashi. (2017). NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE. IEEE SigPort. http://sigport.org/1604
Fairoza Amira Binti Hamzah, Taichi Yoshida, Masahiro Iwahashi, 2017. NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE. Available at: http://sigport.org/1604.
Fairoza Amira Binti Hamzah, Taichi Yoshida, Masahiro Iwahashi. (2017). "NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE." Web.
1. Fairoza Amira Binti Hamzah, Taichi Yoshida, Masahiro Iwahashi. NON-SEPARABLE QUADRUPLE LIFTING STRUCTURE FOR FOUR-DIMENSIONAL INTEGER WAVELET TRANSFORM WITH REDUCED ROUNDING NOISE [Internet]. IEEE SigPort; 2017. Available from : http://sigport.org/1604